It's possible. There's enough Kryptonian Tech lying around. You have the damaged scout ship. The World Engine in the Indian Ocean. Star Labs or Lex Corp could be studying the wrecks. You could do something similar to 'Lex Luthor: Man of Steel'. Instead of Lex giving Bruce some Kryptonite though, he could share his findings with Bruce. And now we have Batman in possession of all the available Data, concerning Kryptonian technology and possible composition of Krypton's atmosphere.